Double lacunary sequence spaces of double interval numbers

• Esi, Ayhan ^[1]
  1. [1] Adıyaman University

     Adıyaman University

     Turquía

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 3, 2012, págs. 299-308
• Idioma: inglés
• DOI: 10.4067/S0716-09172012000300008
• Enlaces
  • Texto completo
• Resumen

  • In this paper we introduce the concepts of double lacunary strongly convergence and double lacunary statistical convergence of double interval numbers. We prove some inclusion relations and study some of their properties.

• Referencias bibliográficas
  • Citas [1] A. Esi, Strongly almost λ−convergence and statistically almost λ−convergence of interval numbers, Scientia Magna, 7 (2), pp. 117-...
  • [2] A. Esi, Lacunary sequence spaces of interval numbers, Thai Journal of Mathematics, 10 (2), pp. 445-451, (2012).
  • [3] A. Esi, A new class of interval numbers, Journal of Qafqaz University, Mathematics and Computer Science, pp. 98-102, (2012).
  • [4] A. Pringsheim, Zur theorie der zweifach unendlichen Zahlenfolgen, Mathematische Annalen, 53, pp. 289-321, (1900).
  • [5] A. R. Freedman, J.J.Sember and M.Raphael, Some Cesaro type summability, Proc.London Math.Soc., 37 (3), pp. 508-520, (1978).
  • [6] E. Sava¸s and R.F.Patterson, Lacunary statistical convergence of multiple sequences, Applied Mathematics Letters, 19, pp. 527-534, (2006).
  • [7] H. Fast, Sur la convergence statistique, Collog.Math.2, pp. 241-244, (1951).
  • [8] I. J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66, pp. 361-375, (1959).
  • [9] Kuo-Ping Chiao, Fundamental properties of interval vector max-norm, Tamsui Oxford Journal of Mathematics, 18 (2), pp. 219-233, (2002).
  • [10] M. Mursaleen and O.H.Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (1), pp. 223-231, (2003).
  • [11] M. Sengonul and A. Eryılmaz, On the sequence spaces of interval numbers, Thai Journal of Mathematics, 8 (3), pp. 503-510, (2010).
  • [12] P. S. Dwyer, Linear Computation, New York, Wiley, (1951).
  • [13] P. S. Dwyer, Errors of matrix computation, simultaneous equations and eigenvalues, National Bureu of Standarts, Applied Mathematics Series,...
  • [14] P. S. Fischer, Automatic propagated and round-off error analysis, paper presented at the 13th National Meeting of the Association of...
  • [15] R. E. Moore, Automatic Error Analysis in Digital Computation, LSMD-48421, Lockheed Missiles and Space Company, (1959).
  • [16] R. E. Moore and C. T. Yang, Interval Analysis I, LMSD-285875, Lockheed Missiles and Space Company, (1962).
  • [17] R. E. Moore and C. T. Yang, Theory of an interval algebra and its application to numeric analysis, RAAG Memories II, Gaukutsu Bunken...
  • [18] S. Markov, Quasilinear spaces and their relation to vector spaces, Electronic Journal on Mathematics of Computation, 2 (1), (2005).